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381674832 = 243711372791
BaseRepresentation
bin10110101111111…
…110010101010000
3222121012002102220
4112233332111100
51240202043312
6101512341040
712313116420
oct2657762520
9877162386
10381674832
11186499a50
12a79a4780
13610c65c6
1438994480
1523793c8c
hex16bfe550

381674832 has 160 divisors (see below), whose sum is σ = 1262966784. Its totient is φ = 96422400.

The previous prime is 381674819. The next prime is 381674851. The reversal of 381674832 is 238476183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135357 + ... + 138147.

Almost surely, 2381674832 is an apocalyptic number.

It is a pronic number, being equal to 19536×19537.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381674832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631483392).

381674832 is an abundant number, since it is smaller than the sum of its proper divisors (881291952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381674832 is a wasteful number, since it uses less digits than its factorization.

381674832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2851 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 381674832 is about 19536.4999936017. The cubic root of 381674832 is about 725.3782137592.

The spelling of 381674832 in words is "three hundred eighty-one million, six hundred seventy-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2442 2791 2849 3108 3256 3696 4144 4884 5582 5698 6216 6512 8373 8547 9768 11164 11396 12432 16746 17094 19536 19537 22328 22792 30701 33492 34188 39074 44656 45584 58611 61402 66984 68376 78148 92103 103267 117222 122804 133968 136752 156296 184206 206534 214907 234444 245608 309801 312592 368412 413068 429814 468888 491216 619602 644721 722869 736824 826136 859628 937776 1135937 1239204 1289442 1445738 1473648 1652272 1719256 2168607 2271874 2478408 2578884 2891476 3407811 3438512 4337214 4543748 4956816 5157768 5782952 6815622 7951559 8674428 9087496 10315536 11565904 13631244 15903118 17348856 18174992 23854677 27262488 31806236 34697712 47709354 54524976 63612472 95418708 127224944 190837416 381674832